Groebner-Shirshov bases for free inverse semigroups

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Bokut, L. A.
Chen, Yuqun
Zhao, Xiangui
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A new construction of a free inverse semigroup was obtained by Poliakova and Schein in 2005. Based on their result, we find a Groebner-Shirshov basis of a free inverse semigroup relative to the deg-lex order of words. In particular, we give the (unique and shortest) Groebner-Shirshov normal forms in the classes of equivalent words of a free inverse semigroup together with the Groebner-Shirshov algorithm to transform any word to its normal form.
Keywords
Mathematics - Group Theory, 16S15, 13P10, 20M05, 20M18
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